Assignment ObjectivesOperation Symbols and Number Sense Use operation symbols to write number sentences
Review place value and number sense
Multi-Digit Addition And Subtraction Practice subtraction with borrowingPractice addition with carrying
Cardinal and Ordinal Numbers Identify cardinal and ordinal numbers in whole numbersIdentify cardinal and ordinal numbers in fractions
Number Patterns Using Place Value Identify place value to the thousands placeIdentify number patterns
Measuring Temperature Identify boiling point of liquidIdentify freezing point of liquidFind information on a graph
Operation Symbols Use operation signs to solve number sentences
Shapes and Symmetry Identify lines of symmetryIdentify plane and solid shapes
Rounding and Estimating Use rounding to find estimates
Finding Perimeter Find the perimeter of shapes
Multi-Digit Addition and Subtraction Solve problems using mental mathAdd and subtract vertically and horizontally
Odd And Even Numbers Identify odd and even numbers
Review: Checking Addition Practice checking addition problems
Review: Checking Subtraction Practice checking subtraction problems
Review: Roman Numerals and Fractions Identify and convert Roman numerals
Review: Multiple Concepts Measuring money and timeRounding and estimationAddition and subtraction factsNumber patterns and number orderReview the following concepts:Roman numerals
Review: Story Problems Practice solving word problems
Assignment ObjectivesReview: Place Value Review place value of multi-digit numbers
Review: Subtraction with Borrowing Review and practice subtraction with borrowing
Multiplication Facts (1) Practice multiplication facts for 1's, 2's, 3's, 5's, and 6's
Measurement Find perimeter and areaPractice using standard units of measure
Practicing Subtraction with Borrowing Practice subtraction, including regrouping with zeros
Mixed Numbers Read and write mixed numbersAdd and subtract mixed numbersIdentify mixed numbers
Review: Expanded Notation and Roman Numerals Review Roman numerals
Write numbers in their expanded form
Probability and Likelihood Predict probability and likelihood
Math Facts Practice math factsSolve number sentences
Symmetry Identify the line of symmetry in figures
Review: Money Solve problems using money
Multiplication Facts (2) Review and memorize multiplication facts for 2's and 5'sLearn the multiplication facts for 7's and 8's
Multiple Concept Review Fact familiesReview the following concepts:Lines and anglesFractions and multiplicationGraphsPlace valueStory problemsMeasurement
Assignment ObjectivesReview: Rounding and Estimation Review rounding to the tens, hundreds, and thousands place
Use rounding to estimate answers
Review: Adding Fractions Practice adding fractions
Review: Subtracting Fractions Practice subtracting fractions
Review: Multiplication Facts Practice multiplication facts from memory
Review: Mental Math, Graphs, Likelihood Solving number sentences using mental mathDetermine likelihood and probabilityIdentify information on a circle graph
Review: Addition and Subtraction Computation Identify the parts of addition and subtraction problemsPractice adding and subtracting
Review: Fractions and Decimals Identify equivalent fractions from picturesIdentify fractions and decimals
Review: Add and Subtract Mixed Numbers and Add and subtract fractionsFractions Add and subtract mixed numbers
Review: Finding Missing Numbers Solve problems with missing number symbolsSolve problems with missing numbers
Review: Shapes and Symmetry Identify plane and solid shapesIdentify a line of symmetry
Review: Roman Numerals Convert Arabic and Roman numerals
Review: Measurement TimeWeightLengthVolumeDozens
Review: Number Symbols and Grouping Solve equations using parentheses to group numbersSolve equations using operation and number relation words
Review: Perimeter and Area Find the perimeter of figuresFind the area of figures
Review: Problem Solving Number patternsCalendar skillsDirectionsMoneyAddition, subtraction, and multiplicationFractionsCardinal and ordinal numbersSolve problems on the following concepts:Measurement
Assignment ObjectivesWhole Number Place Value Identify place value.
Read and write numbers in different forms.
Comparing and Ordering Whole Numbers Ordering Numbers.Comparing numbers.
Decimal Number Place Value Read and write decimal numbers in different forms.Represent decimal numbers on a grid.Identify place value for decimal numbers.
Comparing and Ordering Decimal Numbers Review: representing decimal numbers.Compare and order decimal numbers.
Rounding Whole Numbers and Decimals Round whole numbers and decimals.
Estimating Sums and Differences Estimate sums and differences.
Add and Subtract Mentally Add and subtract numbers mentally.Know the Commutative, Associative, and Identity Properties of Addition.
Adding and Subtracting Whole Numbers Add whole numbers.Subtract whole numbers.
Project: Logical Reasoning Solve logic puzzles using a diagram or table.Write your own logic puzzle and solution.
Review Review adding and subtracting whole numbers and decimals.Review comparing and ordering whole numbers and decimals.Review rounding and estimating with whole numbers and decimals.
Review place value for whole numbers and decimals.Review the whole number properties.
Assignment ObjectivesEstimating Whole Number Products Review: Basic Math Facts.
Estimate the product of two numbers.
Properties of Multiplication Know the Commutative, Associative, and Identity Properties of Multiplication.
Use the Distributive Property to multiply numbers mentally.Know the Zero Property of Multiplication.
Multiplying Whole Numbers Multiply whole numbers using a pencil and paper.
Exponents Find the value of a base and exponent in standard form.Use exponents to show repeated multiplication.
Multiplying Whole Numbers by Powers of Ten Represent 10, 100, and 1,000 using exponents.Multiply a whole number by a power of ten.
Project: How Much is a Million Solve problems about the number one million.
Multiplying Decimals by Powers of Ten Review: Multiply whole numbers by 10, 100, 1000. Multiply decimal numbers by 10, 100, or 1,000.
Estimating Decimal Products Estimating decimal number products by using powers of ten.Estimate decimal number products.
Multiplying Whole Numbers by Decimals Multiply a whole number by a decimal number using a grid.Multiply a whole number by a decimal number using pencil and paper.
Multiplying Decimals by Decimals Multiply a decimal number by a decimal number using a grid.Multiply a decimal number by a decimal number using pencil and paper.
Solving Multiplication Problems Solve word problems using multiplication.
Review Review the properties of multiplication.Review solving multiplication word problems.Review multiplying whole numbers and decimal numbers.Review estimating whole number and decimal products.Review multiplying whole numbers and decimals by powers of ten.
Assignment ObjectivesUnderstanding Division Division as Repeated Subtraction.
Division as the Opposite of Multiplication.Understanding Division as Regrouping.
Estimating Quotients Divide large numbers that end in zero(s).Estimate quotients using compatible numbers.
Dividing Whole Numbers Steps of Long Division.Use long division to find a quotient.Review: Estimate a Quotient Using Compatible Numbers.
Remainders Check division problems that have remaindersReview: Steps of Long Division.Solve division problems that have remainders.
Dividing by Multiples of Ten Divide by multiples of ten.Review: Divide numbers that end in zero.
Dividing Whole Numbers I Divide with two-digit divisors.
Dividing Whole Numbers II Divide with two-digit divisors.
Interpreting the Remainder Use context to interpret the remainder in a real life problem.Use division to solve real life problems.
Dividing by Powers of Ten Divide decimals by 10, 100, and 1,000.Divide whole numbers by 10, 100, and 1,000.
Dividing Decimals by Whole Numbers Divide decimal numbers using long division.Divide decimal numbers using a grid.
Dividing with Money Solve money problems using division.Review: Steps for solving real-life problems.
Review Review modeling division problems.Review solving real life problems.Review dividing whole numbers and decimals by powers of ten.Review solving division problems that have remainders.Review estimating quotients.Review solving division problems using long division.
Assignment ObjectivesAddition and Subtraction Expressions Write and evaluate addition or subtraction expressions.
Multiplication Expressions Write and evaluate multiplication expressions for a specific value, using substitution.
The Order of Operations Evaluate numerical expressions using order of operations.Rules for the order of operations.
Addition and Subtraction Equations Identify and solve addition or subtraction equations for real life situations.
Identify and solve addition or subtraction equations, using mental math.
Multiplication Equations Identify and solve multiplication equations, using mental math.
Use multiplication equations to solve real-life problems.
Functions Find the output of a function, using function rule.
Project: Patterns Generate patterns.Determine the next figure or term in a sequence.
The Coordinate Plane Graph ordered pairs in Quadrant I of the coordinate plane
Graphing Functions Graph functions in Quadrant I of the coordinate plane
Interpreting Graphs Use Graph of functions to predict future events.Graph functions in Quadrant I of the coordinate plane.
Integers Understand Integers in Everyday Life.Represent integers on the number line.
Review Review representing integers on the number line.Review finding the output of functions.Review evaluating expressions and solving equations with one variable.
Assignment ObjectivesThe Metric System Compare metric units.
Name metric units.
Length Compare units of length within the metric system within the metric system.
Convert units of length within the metric system.
Mass Convert units of mass within the metric system.Compare units of mass within the metric system.
Capacity Convert units of capacity within the metric system.Compare units of capacity within the metric system.
Length Convert units of length within the customary system.Compare units of length within the customary system.
Weight Compare units of weight within the customary system.Convert units of weight within the customary system.
Capacity Compare units of capacity within the customary system. Convert units of capacity within the customary system.
Project: Density Convert from kilograms to pounds.Determine the next density of materials per 1,000 cubic centimeters.
Time Compare units used to measure time.Convert units of time.
Elapsed Time Calculate elapsed time.Calculate elapsed time between A.M. and P.M.
Temperature Convert measurements of temperature.Compare measurements of temperature.
Review Review comparing and converting units of time and finding elapsed time.
Review comparing and converting units of temperature.Review comparing and converting metric units.Review comparing and converting customary system units.
Assignment ObjectivesFactors Find all the factors of a number.
Determine if a number is prime or composite.
Prime Factorization Find the prime factorization of a number.
Greatest Common Factor Find the prime factorization of a number.
Fractions Use a number line to represent fractions.Use fraction numbers to represent parts of a whole.
Improper Fractions and Mixed Numbers Convert between improper fractions and mixed numbers.
Simplifying Fractions Write fractions in simplest form.
Equivalent Fractions Find equivalent fractions.
Equivalent Fractions Determine if two fractions are equivalent.Find a missing value in a pair of equivalent fractions.
Least Common Multiple List multiples of a number.Find the LCM of two numbers.
Comparing Fractions Compare fractions and mixed numbers using the least common denominator.
Order fractions and mixed numbers from smallest to largest.
Fractions and Decimals Convert between fractions and decimals.
Rounding Fractions Compare fractions to one half.Round mixed numbers to the nearest whole number.
Review Review converting between fractions and decimals.Review fractions, improper fractions, and mixed numbers.Review prime factoring of composite numbers, GCF, and LCM, and simplifying fractions.
Review rounding fractions and mixed numbers.Review writing equivalent fractions, and ordering and comparing fractions using LCD.
Assignment ObjectivesCollecting Data and Frequency Tables Organize data using a frequency table.
Collect data.
Measures of Central Tendency Find the mean, median, mode, and range of a set of data.
Line Plots Construct a line plot.Organize data using a line plot.
Stem-and-Leaf Plots Organize data using a stem-and-leaf plot.Construct a stem-and-leaf plot.
Bar Graphs Display data in a bar graph.Display data in a double bar graph.
Line Graphs Display data in a line graph.Construct and interpret a line graph.
Choosing the Right Graph Choose the right graph to represent data.Use a pictograph to represent data.
Probability Determine how likely an event may happen: less likely, equally likely, or more likely.
Determine probability in experiments.
Probability as a Fraction Predict the probability of events.Represent the probability of an event as a fraction.
Listing Outcomes List the outcomes of one or two events using a tree diagram.List the outcomes to find probability for other independent events.
Making Predictions Make predictions about an event using theoretical probability.Make predictions about an event using experimental probability.Make predictions about compound events.
Review Use probability to determine the likelihood of eventsAnalyze data using the mean, median, mode, and range.Choose the best way to display data, including a: frequency table, line plot, stem-and-leaf plot, bar graph, line graph, and pictograph
Assignment ObjectivesGeometry Terms Use definitions and correct notation to name.
Use correct geometry terminology.
Angles Estimate the measure of angles.Measure angles using a protractor.Describe angles using degrees.Classify angles as right, acute, or obtuse.
Circles Identify parts of a circle.
Polygons Determine if a polygon is regular or not.Name polygons.
Triangles Classify triangles by their sides.Classifify triangles by their angles.Classify trianges by both sides and angles.
Quadrilaterals Classify quadrilaterals by their angles.Group quadrilaterals by overlapping characteristics.Classify quadrilaterals by their sides.
Solid Figures Classify cylinders, cones, and spheres; identify their nets.Classify pyramids and identify their nets.Classify prisms and identify their nets.
Similar and Congruent Figures Determine whether figures are similar or congruent.Define properties of similar figures.Solve for unknown measures in similar figures.Identify corresponding parts of congruent and similar figures.
Symmetry Draw the other half of symmetrical figures.Identify line symmetry.Identify point symmetry.
Project: Constructions Construct an equilateral triangle using a compass and straight edge.Create a design using rotational and line symmetry.Construct a regular hexagon using a compass and straight edge.Construct a square using a compass and straight edge.
Review Name and classify types of polygons. Name and classify solid figures; identify nets.Use geometry terms; identify parts of circles; measure and classify angles.
Identify: similar and congruent figures, transformations, and symmetry.
Assignment ObjectivesPolygons Find the perimeter of polygons.
Regular Polygons Find the perimeter of regular polygons.Find the perimeter of rectangles.
Circumference Find the approximate circumference of a circle, given the diameter.
Area Use partial squares to find the area of plane figures.Find the area of plane figures.
Squares and Rectangles Find the unknown dimension of rectangles.Find the area of rectangles.
Parallelograms Find the area of parallelograms.Find the unknown dimension of parallelograms.
Triangles Find the area of composite figures.Find the area of triangles.
Surface Area Find the surface area of rectangular prisms.
Volume Find the volume of rectangular prisms.
Solving Volume Problems Solve Real Life Problems Using Volume.Review: Finding the volume of rectangular prisms.
Project: Solid Figures Find surface area and volume of rectangular prisms.Draw 2-d views of these figures.Construct solid figures using blocks or sugar cubes.
Review Find the approximate circumference of a circle, given the diameter.Find the perimeter of polygons, including regular polygons and rectangles.
Find the area of plane figures, including rectangles, parallelograms, triangles, and composite figures.
Find the surface area and volume of rectangular prisms.
Assignment ObjectivesCourse Review 1 Review measurement in the metric system.
Review temperature.Review measurement in the customary system.Review whole numbers and decimals.Review Multiplying and Estimating with Whole Numbers and Decimals.
Review Algebra and Graphing: expressions, equations, and functions.
Review Adding, Subtracting, and Estimating with Whole Numbers and Decimals.
Review Dividing with Whole Numbers, Decimals, and Powers of Ten.
Course Review 2 Review adding and subtracting with fractions and mixed numbers.
Review finding surface area, and volume.Review multiplying fractions and mixed numbers.Review polygons.Review solid figures and transformations.Review data analysis and probability.Review prime factors and fractions.Review finding perimeter and circumference.
Assignment ObjectivesRounding and Estimation Round and estimate with whole numbers.
Identify the place value of a digit in a whole number.
Whole Number Operations Solve word problems involving whole numbers.Add, subtract, multiply, and divide with whole numbers.
Real Number Properties Use the commutative, associative, identity, and distributive properties tIdentify the commutative, associative, identity, and distributive propert
Exponents Read an exponent. Use exponents to show repeated multiplication.Find the value of a power.
Squares, Cubes, and Roots Find the square root of a perfect square.Find the cube root of a perfect cube.Identify perfect squares and perfect cubes.
Order of Operations Use the order of operations to solve problems.
Number Patterns Find the next term in a number pattern.Describe a number pattern.
Variables Represent a word problem using a mathematical expression.Translate between written and mathematical expressions.
Expressions Substitute numbers for variables in an expression.Evaluate expressions for specific numbers.
Variable Expressions Simplify expressions using addition or multiplication.Simplify expressions using the distributive property.
Equations and Mental Math Determine the question that an equation asks.Solve one-step equations using mental math.
Review Review the order of operations.Review rounding, estimating, and computing with whole numbers.Review translating and evaluating expressions.Review the commutative, associative, identity, and distributive propertReview number patterns and sequences.Review exponents and roots.Review solving equations.Review simplifying expressions.
Assignment ObjectivesCollecting Data and the Mean Describe a set of data using the mean.
Determine whether a sample is biased or random.
Median, Mode, and Range Find the median, mode, and range for a set of data.
Describing Data Determine how an outlier affects the measures of central tendency.Describe a set of data using the median, mode, and range of a set of Determine when each measure of central tendency provides a good r
Frequency Tables Organize and display data in frequency tables.Interpret data displayed in a frequency table.
Histograms Organize and display data using histograms.Interpret data displayed in a histogram.
Line Plots Interpret data displayed in line plots.Organize and display data using line plots.
Stem-and-Leaf Plots Interpret data displayed in a stem-and-leaf plot.Organize and display data using stem-and-leaf plots.
Bar Graphs Understand similarities between bar graphs and histograms Interpret data displayed in a bar graph.Organize and display data using bar graph.
Line Graphs Organize and display data using line graphs.Interpret data displayed in a line graph.
Venn Diagrams Use Venn diagrams to solve problems.Solve counting problems with Venn diagrams.
Vertex-Edge Graphs Solve route problems with vertex-edge graphs.
Review Review the measures of central tendency.Review using Venn diagrams to solve problems, including counting proReview solving route problems with vertex-edge graphs.Review organizing and display data in frequency tables, histograms, lReview whether a sample is biased or random.
Assignment ObjectivesDecimals and Place Value Identify place value for decimal numbers.
Read and write decimal numbers.
Ordering and Comparing Compare and order decimal numbers.
Rounding and Estimating Round decimal numbers using place value.Estimate with decimal numbers using different types of estimation.
Adding and Subtracting Add and subtract decimal numbers.
Multiplying by Whole Numbers Multiply decimal numbers by whole numbers.
Multiplying by Decimals Multiply decimal numbers together.
Dividing by Whole Numbers Divide decimal numbers by whole numbers.
Dividing by Decimals Divide whole numbers by decimals.Divide decimals by decimals.
Length Identify the different metric measurements for length.Estimate and measure with metric length.Explore the history of the metric system.
Mass and Capacity Identify the units of mass and capacity in the metric system.Estimate with metric units of mass and capacity.
Multiplying and Dividing by Powers of Ten Multiply and divide decimal numbers by powers of ten.
Converting Metric Units Review metric units and multiplying and dividing by powers of ten. Convert units of measurement in the metric system.
Review Review ordering, comparing, rounding, and estimating with decimal nuReview adding and subtracting decimal numbers.Review the metric system and converting metric units.Review multiplying and dividing decimal numbers by powers of ten.Review reading and writing decimal numbers.Review multiplying and dividing by decimal numbers.Review place value of decimal numbers.
Assignment ObjectivesDivisibility and Prime Factorization Determine whether a number is prime or composite.
Express a number as a product of prime numbers.Use divisibility rules to find the prime factorization of a number.
Greatest Common Factor Use divisibility rules to find factors of a number.Find the GCF of two numbers.List all the factors of a number.
Fractions Use a fraction to show part of a whole.Represent a fraction on the number line.
Equivalent Fractions Identify and find equivalent fractions.Reduce fractions to lowest terms.
Least Common Multiple Find the least common multiple of two numbers.
Comparing and Ordering Fractions Compare and order fractions.Find the least common denominator.
Improper Fractions and Mixed Numbers Locate mixed numbers on the number line.Compare mixed numbers and improper fractions.Convert between improper fractions and mixed numbers.
Changing Decimals to Fractions Convert decimals to fractions.
Changing Fractions to Decimals Identify terminating and repeating decimal numbers.Convert fractions and mixed numbers to decimal numbers.
Estimating with Fractions Round fractions to the nearest whole or half.Estimate with fractions using the four operations.
Measures of Time Add and subtract measurements of time.Find elapsed time.
Review Review rounding and estimating with fractions.Review proper fractions, improper fractions, and mixed numbers.Review the divisibility rules and finding the prime factorization of a numReview converting between decimal numbers and fractions.Review factors, the greatest common factor (GCF), and reducing fracReview multiples, the least common multiple (LCM), and comparing anReview adding and subtracting with time and finding elapsed time.
Assignment ObjectivesFractions with Like Denominators Add and subtract fractions with like denominators.
Fractions with Unlike Denominators Add and subtract fraction with unlike denominators.
Mixed Numbers Add and subtract mixed numbers.
Renaming Mixed Numbers Subtract with mixed numbers.Rename mixed numbers.
Multiplying Fractions Evaluate an expression using the order of operations.Multiply two proper fractions.Multiply a fraction and a whole number.
Multiplying Mixed Numbers Multiply mixed numbers.
Dividing Fractions Find the reciprocal of a fraction. Divide proper fractions and whole numbers.Evaluate fraction expressions
Dividing Mixed Numbers Find the reciprocal of a mixed number.Divide with mixed numbers.
Length Convert between customary units of length.Estimate and measure with customary units of length.
Weight Estimate and measure with customary units of weight.Convert between customary units of weight.
Capacity Estimate and measure with customary units of capacity.Convert between customary units of capacity.
Review Review multiplying and dividing fractions.Review adding and subtracting fractions with like and unlike denominaReview estimating and measuring with customary units.Review adding and subtracting mixed numbers.Review converting customary units.Review multiplying and dividing mixed numbers.
Assignment ObjectivesRatios Use a ratio to compare two quantities.
Use a ratio table to solve a problem.Express a ratio in lowest terms.
Geometry: Circumference Find the circumference of a circle.Understand that the ratio of circumference to diameter is pi.
Rates Determine a unit rate.Compare rates.Solve problems using a unit rate.
Proportions Solve a proportion for a missing value.Determine if two ratios form a proportion.
Solving Proportions Use a proportion to solve for a missing value.Determine if two ratios form a proportion .
Scale Drawings Use a proportion to find a length in a scale drawing.
Project: Make a Scale Drawing Draw a floor plan of your classroom or bedroom.
Converting Between Decimals and Percents Use a decimal or percent to represent the same value.Understand that the same model can be used to represent a decimal,Compare and order decimals, fractions, and percents.
Converting Between Fractions and Percents Use a fraction or percent to represent the same value.Understand percent.
Data Analysis: Circle Graphs Interpret a circle graph.Display information in a circle graph.
Percent of a Number Find the percent of a number.
Review Review proportions.Review circumference of a circle.Review percent and finding the percent of a number.Review circle graphs.Review ratios and rates.Review scale drawings.
Assignment ObjectivesIntroduction to Probability Find the theoretical probability of a simple event.
Complementary Events Find the theoretical probability of a simple event and its complement.
Sample Space Display the sample space of an event on a tree diagram, list, or table.Find the probability of independent events.
Project: Theoretical vs. Experimental Probability Find the experiment probability of an event.
Introduction to Geometry Identify basic geometric components.Use correct geometric terminology and notation.
Measuring and Classifying Angles Classify and measure acute, obtuse, right, and straight angles.
Angle Relationships Use angle relationships (vertical, complementary, and supplementary)
Triangles Classify triangles based on their attributes.Find a missing angle measure of a triangle.
Quadrilaterals Classify quadrilaterals based on their characteristics.Find a missing angle measure of a quadrilateral.
Polygons Classify polygons based on their attributes.
Congruent and Similar Figures Determine if two figures are congruent, similar, or neither.
Review Find the theoretical probability of a simple event and its complement.Determine if two figures are congruent, similar, or neither.Classify acute, obtuse, right, and straight angles.Classify triangles, quadrilaterals, and other polygons based on their attrFind a missing angle measure of a triangle or a quadrilateral.Use correct geometric terminology and notation.Display the sample space of an event on a tree diagram, list, or table aUse angle relationships (vertical, complementary, and supplementary)
Assignment ObjectivesPerimeter Review how to find the circumference of a circle.
Find the perimeter of a polygon.
Area of Parallelograms Find the area of a parallelogram.
Area of Triangles Find the area of a triangle.Understand the relationship between the area of parallelograms and t
Area of Composite Figures Find the area of simple composite figures.
Area of Circles Find the area of a circle.
Project: Estimating Area Estimate the area of irregular figures.
Solid Figures Compare attributes of solid figures.Classify solid figures.
Surface Area of Rectangular Prisms Find the surface area of a rectangular prism.
Volume of Rectangular Prisms Find the volume of a rectangular prism.
Finding Missing Dimensions Find a missing dimension of a rectangular prism, given the surface area
Project: Triangular Prisms Find the surface area and volume of a triangular prism.
Review Find the perimeter of a polygon.Use correct units for measurement.Review finding the circumference of a circle.Find the area of a parallelogram, a triangle, a circle, and simple compClassify solid figures.Find a missing dimension of a rectangular prism, given the surface areaFind the surface area and volume of a rectangular prism.
Assignment ObjectivesIntegers Know that zero pairs are opposite integers and add to zero.
Represent integers as points on the number line.Represent integers in everyday life.
Comparing and Ordering Integers Compare and order integers.
Absolute Value Use absolute value in order of operations.Compare and order absolute value numbers.Find the absolute value of a number.
Coordinate Plane Graph ordered pairs on the coordinate plane, in all four quadrants.
Addition Add with integers.
Subtraction Subtract with integers.
Multiplication Multiply with integers.
Division Divide with integers.
Translations Know that translations, reflections, and rotations preserve size and shapDetermine the effect of a translation on a point in the coordinate plan
Reflections and Rotations Identify whether a figure has been rotated and the degree of rotation.Determine the affect of a reflection on a point in the coordinate plane
Line Symmetry Draw symmetrical figures.Identify line symmetry.
Review Compare and order integers.Determine the effect of a translation or a reflection on a point in the coIdentify line symmetry.Add, subtract, multiply, and divide with integers.Know that translations, reflections, and rotations preserve size and shapIdentify whether a figure has been rotated, and the degree of rotationRepresent integers as points on the number line.Find the absolute value of a number.
Functions Find an output of a function, given the function rule and an input value
Function Rules Determine a function rule.Find an input of a function, given the function rule and an output value
Graphing Functions Find the equation for a function that has been graphed on a coordinaGraph functions on a coordinate plane
Review Determine if a given value is a solution of a one- or two-step equation.Solve one-step addition, subtraction, multiplication, and division equatGiven two of the following: the function rule, an output value, and an iDetermine if a given value is a solution of a one- or two-step inequalityGraph inequality statements.Translate and write one- and two-step equations and inequalities.Graph functions on a coordinate plane.
Assignment ObjectivesCourse Review 1 Review the International System of Units and U.S. Customary System of
Review collecting, describing, organizing, and interpreting data.Review whole numbers and their properties. Review decimal numbers and computing with decimal numbers.Review fractions and computing with fractions.
Course Review 2 Review equations and functions.Review two-dimensional geometry.Review ratios, proportions, and percents.Review probability.Review integers.Review three-dimensional geometry.Review the coordinate plane and transformations.
Assignment ObjectivesIntegers on the Number Line Locate integers on the number line.
Represent positive and negative values.
Comparing and Ordering Integers Compare two integers using inequality symbols.Put a group of integers in order.
Absolute Value Find pairs of opposite numbers.Determine the absolute value of a number.Write an inequality statement with an absolute value
Adding Integers with the Same Sign Add integers with the same sign.Use addition to solve word problems.
Adding Integers with Different Signs Use addition to solve word problems.Use the rule of zero pairs to add integers.Add integers with different signs.
Subtracting Integers Use subtraction to solve word problems.Subtract integers.
Multiplying Integers Multiply integers.
Dividing Integers Divide integers.
Using Integers Determine which operation to use in a given situation.Solve problems using Addition, subtraction, multiplication, and division.
The Real Number System Classify numbers.
Real Number Properties Identify the associative, commutative, and identity properties.Use the associative, commutative, and identity properties to simplify ex
The Distributive Property Use the distributive property to simplify expressions.
Order of Operations Use the order of operations to simplify expressions.
Exponents and the Order of Operations Use the order of operations to simplify expressions.Use exponents to represent repeated multiplication.
Review Review absolute value.Review using integers to solve word problems.Review the order of operations.Review comparing and ordering integers.Review exponents.Review locating integers on the number line.Review adding, subtracting, multiplying, and dividing integers.Review the real number system and its properties.
Assignment ObjectivesFractions and Mixed Numbers Round fractions and mixed numbers.
Convert between mixed numbers and improper fractions.Identify the different parts of fractions and mixed numbers.
Equivalent Fractions Identify equivalent fractions.Identify fractions written in simplest form.
Divisibility Rules and Prime Factorization Use a factor tree to find the prime factorization of a number.Factor numbers.Identify a number as prime or composite.Identify the basic divisibility of a number.
Greatest Common Factor and Least Common Multiple Find the LCM of a set of numbers.Define the difference between the GCF and the LCM of a set of numbFind the GCF of a set of numbers.
Adding and Subtracting Fractions with Like Denominators Add and subtract mixed numbers.Subtract fractions with like denominators.Add fractions with like denominators.
Adding and Subtracting Fractions with Unlike Denominators Add fractions with unlike denominators.Subtract fractions with unlike denominators.
Reducing Fractions Determine the GCF of the numerator and denominator of a fraction.Reduce or simplify fractions.
Comparing and Ordering Fractions Compare and order fractions using the LCD.
Multiplying Fractions Use estimation to determine the reasonableness of an answer.Multiply fractions and mixed numbers.
Dividing Fractions Use estimation to determine if an answer is reasonable.Determine the reciprocal of a given fraction.Divide fractions and mixed numbers.
Project: Chef for a Day Add, subtract, and multiply fractions and mixed numbers.Reduce fractions to lowest terms.Convert between improper fractions and mixed numbers.
Review Review comparing and ordering fractions.Review finding equivalent fractions.Review operations with fractions and mixed numbers.Review parts of fractions and mixed numbers.Review simplifying fractions.Review the different types of fractions.Review the GCF and LCM of a set of numbers.
Assignment ObjectivesComparing and Ordering Decimals Recognize the decimal place value .
Put a group of decimals in ascending and descending order.Identify the larger decimal in pairs or small groups of decimals.
Rounding and Estimating Decimals Round decimals to specified place values.Apply rounding skills to help with estimating.
Adding and Subtracting Decimals Add and subtract decimals.
Multiplying and Dividing Decimals Calculate the product of a whole number and a decimal number.Divide decimal numbers by powers of ten.Calculate the quotient of two decimal numbers.Calculate the product of two decimal numbers.
Terminating and Repeating Decimals Distinguish between terminating and repeating decimals.Convert decimals into simplified fractions.
Fractions as Decimals Rewrite fractions and mixed numbers as decimal numbers.
Using Decimals Solve problems containing decimals and fractions.
Scientific Notation Write numbers in scientific notation.Interpret numbers in scientific notation.
The Metric System Identify metric units.Convert metric units using multiplication or division.
Review Review rounding and estimating decimal numbers.Review converting between metric (SI) units.Review scientific notation.Review comparing and ordering decimal numbers.Review converting between decimal numbers and fractions.Review solving application problems that contain decimal numbers anReview adding, subtracting, multiplying, and dividing decimal number
Assignment ObjectivesWorking with Variables and Expressions Translate a word phrase into a mathematical expression.
Use a variable to represent an unknown number.
Translating Word Sentences Write an equation to represent a word problem.Translate between word sentences and mathematical equations.
Evaluating Expressions Evaluate expressions for specific variables.Substitute values in for variables in an expression.
Using Formulas to Solve Problems Use a formula to solve a problem.
Identifying Number Patterns Identify arithmetic and geometric sequences.Find the next term in an arithmetic or geometric sequence.Describe an arithmetic or geometric sequence with an equation.Use an equation for an arithmetic or geometric sequence to find the v
Identifying Functions Determine if a set of inputs and outputs represents a function.
Identifying Function Rules Identify the function rule for a set of inputs and outputs.Translate a verbal phrase to a mathematical expression.
Solving Equations Using Mental Math Solve a simple equation using mental math.
Solving Equations Using Addition and Subtraction Solve equations using addition.Solve equations using subtraction.
Solving Equations Using Multiplication and Division Solve equations using multiplication.Solve equations using division.
Solving Two-Step Equations Solve two-step equations using the four basic operations.Translate word problems into two-step equations and then solve.
Working with Inequalities Graph the solution to an inequality on the number line.Translate word sentences into mathematical inequalities.
Solving One-Step Inequalities Solve one-step inequalities and graph the solution set on a number line
Review Review arithmetic and geometric sequences and the equations that cReview using variables to represent unknown numbers.Review evaluating expressions and formulas for specific values.Review functions and function rules.Review solving equations using the four operations.Review solving inequalities and graphing the solution sets on a numberReview translating between word phrases or sentences and mathema
Assignment ObjectivesRatios Write and simplify ratios.
Write and simplify rates.Compare ratios using unit rates.
Proportions Write and solve proportions.
Converting Customary Units Convert between customary units.
Converting Metric Units Convert between units in the metric system.
Similarity Use a proportion to find a missing length of a similar triangle.Recognize and work with similar figures.
Scale Drawings Use proportions to find missing lengths.
Converting Between Fractions, Decimals, and Percents Convert percents to fractions and decimals.Convert fractions and decimals to percents.
Percent of a Number Find the percent of a number.
Percent of Change Calculate a percent of change.
Solving Percent Problems Using Proportions Solve percent problems using a proportion.
Solving Percent Problems Using Equations Solve percent problems using an equation.
Review Review converting between metric units.Review converting between customary units.Review recognizing similar figures and working with scale drawings.Review finding the percent of a number and the percent of change.Review writing and solving proportions.Review writing and simplifying ratios and rates.Review converting between fractions, decimals, and percents.Review solving percent problems using a proportion or an equation.Review comparing ratios using unit rates.Review using a proportion to find a missing length of a similar triangle.
Assignment ObjectivesTheoretical Probability Determine the theoretical probability of an event.
Experimental Probability Determine the experimental probability of an event.
Sample Space Use the counting principle to find the sample space.Determine the sample space for an experiment.Determine if a game is fair.
Independent and Dependent Events Determine the probability of independent and dependent events.Determine if events are independent or dependent.
Graphing Ordered Pairs Plot ordered pairs on a rectangular coordinate system.
Graphing Linear Equations Given a graph of a linear function, write the equation. Use a table to graph a linear equation.
Slope Determine the slope of a linear function.
Direct Variation Graph direct variations.Identify the slope of a direct variation.Determine if a function is a direct variation.
Review Review determining if events are independent or dependent.Review using a table to graph a linear equation.Review determining the probability of independent and dependent evReview determining the sample space for an experiment.Review graphing direct variations.Review determining the theoretical and experimental probability of anReview determining the slope of a linear function, including direct variaReview plotting ordered pairs on a rectangular coordinate system.Review determining if a function is a direct variation.
Assignment ObjectivesCollecting Data Make predictions from a sample.
Determine whether a question is biased or unbiased.Determine whether a sample is biased or random.
Determining Mean, Median, and Mode Determine the mean, median, and mode of a set of data.
Using Mean, Median, and Mode Use the mean to find a missing value.Calculate the mean, median, and mode.Determine which measure of central tendency should be used in a situDetermine the effect of an outlier on an average.
Using Range Find the range of a set of data.Determine the effect of outliers on the range and the interquartile rangFind the interquartile range of a set of data.
Box-and-Whisker Plots Interpret box-and-whisker plots.Construct a box-and-whisker plot for a set of numbers.Identify the different parts of a box-and-whisker plot.
Stem-and-Leaf Plots Interpret a stem-and-leaf plot.Construct a stem-and-leaf plot.
Histograms Interpret a histogram.Construct a histogram from a stem-and-leaf plot or a frequency table.
Other Graphs Display data in a pictograph.Use a Venn diagram to organize information and solve problems.
Line Graphs Interpret and construct line graphs.Use a line graph to make predictions about the data.
Bar Graphs Construct bar graphs and double bar graphs.Interpret bar graphs and double bar graphs.
Circle Graphs Construct and interpret circle graphs.Determine the percent and degree measures of sections on a circle gr
Scatter Plots Make predictions from a set of data represented by a scatter plot.Construct and interpret scatter plots.
Review Review making predictions from a random sample, line graph, or scattReview how to construct, interpret, and use the following graphs: box-aReview how to use Venn diagrams to solve problems.Review how to define and find the measures of central tendency and Review the definitions of biased and unbiased samples and questions.
Assignment ObjectivesIntroduction to Geometry Identify basic geometric components.
Measure angles using a protractor Use correct geometric terminology and notation.Classify angles by their measures.
Special Pairs of Angles Use angle properties to determine missing angle measures.Identify special pairs of angles.
Polygons Determine the measure of an interior angle of a regular polygon.Identify polygons and use correct geometric terminology to describe t
Circles Identify parts of a circle.Use circle properties to find missing measures.
Project: Inscribed Polygons Inscribe regular polygons in circles using a protractor, compass, and str
Triangles Find a missing angle measure of a triangle.Identify and classify types of triangles.
Quadrilaterals Find a missing measure of a quadrilateral.Identify and classify types of quadrilaterals.
Similar Polygons Identify similar and congruent figures.Use properties of similar and congruent figures to solve problems.Identify corresponding parts of similar and congruent figures.
Symmetry Determine if a figure has line or rotational symmetry.
Reflections Determine the coordinates of an image following a reflection.
Translations Determine the coordinates of an image following a translation.
Compound Transformations Determine the coordinates of an image following a compound transfo
Review Review using angle and circle properties to determine missing angle mReview identifying corresponding parts of similar and congruent figuresDetermine if a figure has line symmetry or rotational symmetry.Review identifying basic geometric components and shapes.Determine the coordinates of an image following a reflection, translatiReview using properties of similar and congruent figures to solve proble
Assignment ObjectivesPerimeter Use the perimeter of a polygon to find a missing side length.
Calculate the perimeter of a polygon.
Circumference Use the circumference of a circle to find the radius or diameter.Calculate the circumference of a circle.
Composite Figures Calculate the perimeter of a composite figure.
Area of Parallelograms Calculate the perimeter of a composite figure.
Area of Triangles and Trapezoids Calculate the area of a triangle.Calculate the area of a trapezoid.
Area of Circles Calculate the area of a circle.
Area of Composite Figures Calculate the area of a composite figure.
Dimension Changes Determine the area of a figure after its dimensions have changed.
Squares and Square Roots Calculate the square of a number.Calculate the square root of a number.Determine between which two integers a square root lies.
The Pythagorean Theorem Use the Pythagorean theorem to find a missing length of a side of a rig
Applying the Pythagorean Theorem Apply the Pythagorean theorem to solve word problems.
Review Review squares and square roots.Review using the Pythagorean Theorem to find a missing side length ofReview finding the area of parallelograms, triangles, trapezoids, circlesReview using the perimeter, circumference, or area of a plane figure toReview finding the perimeter or circumference of a plane figure.Review how changes in dimension affect the area of a plane figure.
Assignment ObjectivesClassifying and Identifying Solids Classify and identify solid figures.
Nets Identify and sketch the net of a solid figure.
Surface Area and Volume Use an algorithm to find the surface area or volume of a solid figure.Explain what surface area and volume mean.
Surface Area of Rectangular Prisms Use a net to find the surface area of a rectangular prism. Use a formula to find the surface area of a rectangular prism.
Volume of Rectangular Prisms Use a formula to find the volume of a rectangular prism.
Surface Area of Triangular Prisms Use a net to find the surface area or a triangular prism.Use a formula to find the surface area of a triangular prism.
Volume of Triangular Prisms Find the volume of any triangular prism.
Surface Area of Cylinders Use a formula to find the surface area of a cylinder.
Volume of Cylinders Use a formula to find the volume of a cylinder.
Dimension Changes Find the surface area or volume of a solid figure given a change in theDetermine how the surface area or volume of a solid figure is affected
Review Review the volume formulas for rectangular prisms, triangular prisms, anReview how to classify, identify, and draw the net of solid figures.Review the definitions of surface area and volume.Review the effects of dimension changes on the surface area and voluReview the surface area formulas for rectangular prisms, triangular prismReview how to find the surface area and volume of solid figures using t
Assignment ObjectivesCourse Review 1 Review translating, solving, and graphing functions, equations, and ine
Review expressing negative and fractional values using integers, fractioReview applications of integers, fractions, decimals, percents, and proReview using proportions to solve problems.Review comparing and ordering integers, fractions, decimals, and percReview computing with integers, fractions, and decimals.
Course Review 2 Review collecting, describing, organizing, and graphing data.Review transformations.Review probability.Review graphing functions.Review classifying angles and polygons.Review perimeter, area, surface area, and volume.
Assignment ObjectivesSubsets of the Real Number System Identify irrational numbers.
Classify numbers.
Using Variables Use substitution to simplify expressions and formulas.Identify a variable, term, or expression.
The Number Line Locate numbers on the number line.Find the distance between two points on the number line.Evaluate numerical expressions containing absolute value symbols.Find the opposite of a number.
Comparing Rational Numbers Place rational numbers on the number line.Use the correct inequality symbol to compare rational numbers.
Properties of the Real Numbers Recognize and name number properties used in number sentences.
Use number properties to make computation easier.
Exponents Simplify expressions with positive bases and positive or negative exponents.
Multiply and divide exponential expressions with positive bases and positive exponents.
Represent powers as repeated multiplication.
Scientific Notation Write numbers given in standard form in scientific notation.Write numbers given in scientific notation in standard form.
Square Roots Simplify square roots that are not perfect squares.Determine if a square root is a rational or irrational number.Determine between which two integers an irrational root lies.Evaluate perfect square roots.
Order of Operations Use the order of operations to simplify numerical expressions.
Review Review comparing and ordering numbers.Review exponents.Review square roots.Review absolute value.Review classifying numbers.Review evaluating expressions that contain variables.Review scientific notation.Review the order of operations.Review the properties of real numbers.
Assignment ObjectivesTranslating Expressions and Equations Translate written statements into math symbols, expressions, and
equations.
Represent a simple word problem as an equation.
Solving One-Step Equations Identify the inverse operation needed to solve a one-step equation.
Translate and solve one-step equations in context.Identify the property of equality used to solve a one-step equation.
Solving Two-Step Equations Solve two-step equations using real numbers.Check solutions for reasonableness.Translate word problems into two-step equations and then solve.
Relations and Functions Identify multiple representations of the same relations and/or functions.
Identify a relation that is a function.Identify inputs and outputs, and domains and ranges.
Functions Evaluate a function given a value.Complete a function table.Recognize a function represented in various ways: rule, table, mapping, etc.
Understand function notation.
Analyzing Graphs Match a story with a graph.Answer questions based on a graph by reading and interpreting the graph.
Use ordered pairs to graph a function.
Addition of Integers Add integers.Add integers within the context of a word problem.
Subtraction of Integers Subtract integers.Understand that subtracting an integer is the same as adding the opposite integer.
Subtract integers within the context of a word problem.
Multiplying and Dividing Integers Apply rules of multiplying and dividing integers to expressions and word problems.
Evaluating Expressions Evaluate expressions by substituting values for variables.Evaluate expressions in the set of integers using the order of operations.
Graphing Find the value of a missing coordinate by using its graph.Name ordered pairs on a graph.Complete a t-chart for a function rule and graph the functionGraph points in the coordinate plane.
Assignment ObjectivesPrime Factorization and the GCF Express the prime factorization of composite numbers and terms in
exponential form.
Determine the greatest common factor using prime factorization.Solve problems by applying the greatest common factor.
Simplifying Fractions Reduce positive and negative fractions.Reduce fractions with variables.
The LCM and the LCD Find the least common multiple (LCM) of two or more terms.Find the least common denominator (LCD) of two or more fractions.
Adding and Subtracting Like Fractions Add and subtract fractions and mixed numbers with like denominators.
Add and subtract fractions that have variables.Convert between improper fractions and mixed numbers.
Adding and Subtracting Unlike Fractions Add and subtract fractions with unlike denominators.Add and subtract fractions with variables.
Adding and Subtracting Decimal Numbers Subtract positive and negative decimal numbers.Add positive and negative decimal numbers.Use estimation to predict results and check answers.
Multiplying and Dividing Fractions Solve word problems that require the multiplication and division of fractions and mixed numbers.
Use estimation and rounding to check for the reasonableness of an answer.
Multiply and divide positive and negative fractions and mixed numbers.
Multiplying and Dividing Decimal Numbers Multiply and divide positive and negative decimal numbers.Use estimation and rounding to check for the reasonableness of an answer.
Solve word problems that require the multiplication or division of decimal numbers.
One-Step Addition and Subtraction Equations Write and solve one-step addition and subtraction equations involving fractions and decimals.
Check solutions in equations and determine their reasonableness by estimating.
One-Step Multiplication and Division Equations Write and solve one-step multiplication and division equations involving fractions and decimals.
Check solutions in equations and determine their reasonableness by estimating.
Two-Step Equations Check solutions by using estimation.Solve one and two-step equations involving decimal and fractional values.
Graph the solution of an inequality on the number line.Write an inequality to represent and solve a word problem.
Two-Step Inequalities Graph the solution set of an inequality on the number line.Write an inequality to represent and solve a word problem.Solve two-step inequalities.
Review Review prime factorization of numbers and finding greatest common factors and least common multiples.
Review operations involving positive and negative fractions and decimals.
Review solving one-step and two-step inequalities with real numbers.
Review graphing inequalities on a number line.Review solving one-step and two-step equations with real numbers.
Unit 3: MODELING PROBLEMS WITH RATIONAL NUMBERS (CONT.)
Assignment ObjectivesProportions Solve for a missing value in a proportion.
Determine if an equation is a proportion.Write ratios and proportions.
Applications Use proportional reasoning to solve problems.Determine unit rate or unit price.
Direct Variation Use the constant of variation to determine the equation of a direct variation.
Calculate the constant of variation.Calculate a missing value in a direct variation problem.Recognize a relationship as a direct variation.
Fraction, Percent and Decimal Equivalents Convert between fractions, decimals, and percents.Compare and order fractions, decimals, and percents.
Solving Percent Problems Determine if the answer to a percent problem is reasonable.Calculate the missing value in a percent problem.
Applications Write an equation to represent a word problem involving percents.Solve a word problem involving percents.
More Applications Find percent increase or percent decrease in a word problem.Solve multi-step word problems involving percents.
Unit Conversion within Customary Units Convert customary units.Solve problems that require unit conversions of measurements.
Unit Conversion within Metric Units Convert metric units.
Corresponding Parts Identify similar figures.Identify congruent figures and their corresponding parts.Solve for a missing measure in similar figures.
Indirect Measure Draw a picture to model and then solve a word problem involving similar triangles.
Identify similar triangles in diagrams involving overlapping triangles.
Models and Scales Determine the scale between a model and actual object.Calculate a missing measure using a scale.
Review Review using similar figures to solve for a missing measure and to measure indirectly.
Review solving percent problems.Review converting metric units.Review converting and comparing fractions, decimals, and percents.Review direct variations.Review using proportions to solve for a missing value.Review converting customary units.
Assignment ObjectivesRewriting Equations Solve for a missing value in a formula.
Rewrite formulas to solve for a specific variable.
Combine Like Terms Identify like terms in an algebraic expression.Combine like terms in an algebraic expression.
Solving Equations by Combining Like Terms Solve equations that require combining like terms on one side of the equation.
Write equations with like terms from a contextual situation.Check answers for reasonableness.
Distributive Property Identify equivalent expressions.Use the distributive property to simplify algebraic expressions.
Solving Equations with Distributive Property Write equations with the distributive property from word problems.Check answers for reasonableness in context.Solve equations using the distributive property to simplify.
Slope Find the slope of a line on a graph.Find the slope of a line given two points.Identify the type of slope from a graph.
Using Intercepts Substitute values into the equation for a line to find the intercepts.Graph a line from its intercepts.Identify the x-intercept and the y-intercept of a line.
Slope-Intercept Form Rearrange equations to put them in slope-intercept form.Identify equations in slope-intercept form.
More Slope-Intercept Form Write an equation in slope-intercept form when given the slope and the intercept.
Find the slope and the intercept to write an equation in slope-intercept form.
Non-Linear Functions Graph quadratic and absolute value functions from t-charts.Complete t-charts for quadratic and absolute value equations.
Identify a quadratic equation and an absolute value equation from graphs.
Patterns and Arithmetic Sequences Determine if a sequence is arithmetic.Find the common difference in an arithmetic sequence.Extend an arithmetic sequence.Use a formula to calculate the nth term of an arithmetic sequence.
Geometric Sequences Extend a geometric sequence.Determine if a sequence is geometric.Find the common ratio in a geometric sequence.
Assignment ObjectivesExponential Sequences Graph exponential functions, of both growth and decay.
Identify exponential growth from both an equation and a graph.Complete t-charts for exponential growth.Identify exponential decay from both an equation and a graph.
Recursive Sequences Extend a recursive sequence.Determine if a sequence is recursive.
Review Review graphing a line, given the slope and/or intercepts.Review solving multi-step equations that involve one or more of the following: distributive property, combining like terms, and equivalent expressions.
Review solving literal equations.Review graphing quadratic and absolute value graphs.Review finding a slope from a graph, mathematically, or from an equation.
Review extending number sequences, including arithmetic, geometric, exponential, and recursive.
Review finding intercepts.Review graphing exponential functions.Review identifying the type of slope from a graph.Review writing equations in slope-intercept form.
Assignment ObjectivesClassify and Measure Angles Classify pairs of angles.
Find the measure of an angle.Identify angles by their measure.
Perpendicular and Parallel Lines, Part 1 Identify a transversal and the angles it creates.Find the measure of angles created by a transversal.Identify lines as parallel, intersecting, or perpendicular.
Perpendicular and Parallel Lines, Part 2 Identify the relationships between angles created by a transversal across parallel lines.
Find the measure of the angles created by a transversal across parallel lines.
Find the measure of angles created by vertical lines.Find the measures of complementary and supplementary angles.
Circles Identify the parts of a circle.Classify angles and arcs of circles.Find the measures of arcs and angles of circles.
Classifying Polygons Name a polygon from its properties.Identify the different parts of polygons (sides, vertexes, diagonals, interior angles, and exterior angles).
Classify polygons as regular or irregular.Classify polygons as concave or convex.Identify which figures are polygons.
Interior and Exterior Measures of Polygons Find the exterior angle measures of polygons.Recognize the relationship that exists between the number of sides of a polygon and the sum of the measures of its interior angles.
Find the interior angle measures of polygons.
Classifying Triangles and the Triangle Inequality Determine if three sides can create a triangle.Theorem Classify a triangle by its angles.
Classify a triangle by its sides.
The Quadrilateral Family Recognize the relationships among the different types of quadrilaterals.
Identify the name of a quadrilateral by its properties.
Pythagorean Theorem, Part 1 Find the length of a leg using the Pythagorean theorem.Find the length of a hypotenuse using the Pythagorean theorem.Determine if 3 side lengths create a right triangle.
Pythagorean Theorem, Part 2 Solve a contextual problem using the Pythagorean theorem.Write an equation to find the missing side of a right triangle.Draw and label a right triangle from a contextual problem.
Assignment ObjectivesReview Review identifying and finding measures of angles created by
transversals.
Review classifying triangles and the triangle inequality theorem.Review classifying polygons and finding measures of their interior and exterior angles.
Review classifying and measuring angles and lines.Review classifying quadrilaterals and the relationships among them.Review finding side lengths of right triangles using the Pythagorean theorem.
Assignment ObjectivesPerimeter and Circumference Estimate the circumference or perimeter of a figure.
Find unknown dimensions of a figure by solving algebraic equations.Find the circumference or perimeter of a figure.
Area of Parallelograms Calculate the area of a parallelogram.Find a missing side length or height of a parallelogram.Classify parallelograms based on their properties.
Area of Triangles and Trapezoids Find the area of a triangle or trapezoid.Use the area formulas to find a missing measure in a triangle or trapezoid.
Area of Circles Use the area formula of a circle to find a missing measure.
Composite Figures Determine the area of a composite figure using common area formulas.
Recognize the common shapes that make up a composite figure.
Effects of Dimensional Changes Determine how dimension changes affect the area and perimeter of a shape.
Symmetry Write equations of lines of symmetry for shapes in a coordinate plane.Determine if a shape has line symmetry or rotational symmetry.Identify lines of symmetry in shapes.
Distance and Midpoint Solve word problems using distance and midpoint.Find the distance between two points.Find the midpoint between two points.
Reflections Identify lines of reflection in a picture and coordinate plane.Determine the coordinates of an image or pre-image across a line of reflection.
Translations Use ordered-pair notation to determine a translation.Identify a transformation as a reflection, translation, or rotation.Determine the coordinates of the image or pre-image in a translation.
Tessellations Identify a tessellation.Know which regular polygons will tessellate.
Rotations Find the coordinates of an image that has been rotated Identify rotation in a picture.
Dilations Find the coordinates of an image or pre-image point in a dilation.
Identify dilations as different from the other transformations.Determine whether a dilation is an enlargement or a reduction.
Assignment ObjectivesReview Review line and rotational symmetry.
Review using the formulas for perimeter, circumference, or area to find a missing measure of a plane figure.
Review how changes in dimension affect the perimeter or area of a plane figure.
Review the properties of parallelograms and trapezoids.Review the four types of transformations and how to find the coordinates of an image or pre-image.
Review finding the distance and midpoint of two points on a number line or coordinate plane.
Review finding the perimeter, circumference, or area of a plane figure.
Assignment ObjectivesSolid Figures Identify the number of faces, edges, and vertices for a figure.
Classify a three-dimensional figure by its characteristics.Name a three-dimensional figure by its base(s).Identify the net of a three-dimensional figure.
Euler's Formula Identify the relationship that exists among the number of faces, edges, and vertices of a solid figure.
Determine the number of faces, lateral faces, edges, and vertices of each geometric solid.
Surface Area of Rectangular Prisms Find a missing measure given the surface area.Calculate the surface area of rectangular prisms using its surface area formula.
Calculate the surface area of rectangular prisms using a net.
Surface Area of Triangular Prisms Find the surface area of a triangular prism using its net.Solve for a missing measure when given the surface area and other dimensions of a triangular prism.
Calculate the surface area of a triangular prism.
Surface Area of Cylinders Determine the surface area of a net of a cylinder.Understand the derivation of the surface area formula for a cylinder.Calculate the surface area of a cylinder using its formula.Find the length of the curved surface of a cylinder.
Surface Area of Pyramids, Cones, and Spheres Solve for a missing measure when given the surface area and other dimensions of a pyramid, cone, or sphere.
Calculate the surface area of a pyramid using the net of the figure.Find the surface area of a pyramid, a cone, and a sphere using formulas.
Surface Area of Composite Figures Identify the solids of a composite figure.Calculate the surface area of a composite figure.
Volume of Rectangular Prisms Find a missing dimension of a rectangular prism when given the volume and all but one of the other dimensions.
Find the volume of a rectangular prism.
Volume of Triangular Prisms Find the unknown measure of a triangular prism when given the volume and the other dimensions.
Find the volume of a triangular prism.
Volume of Square Pyramids Find the unknown measure of a square pyramid when given the volume and the other dimensions.
Assignment ObjectivesCollecting Data Identify a sample as biased or unbiased.
Make predictions from a sample.Interpret a tally chart to identify trends and make predictions about the general population.
Measures of Central Tendency and Dispersion Calculate the missing value of a data set when given the mean and the rest of the data set.
Identify the mean, median, mode, and range for a set of data.
Bar Graphs Interpret a bar graph.Construct a bar graph from a set of data.
Circle Graphs Construct a circle graph from a set of data.Compare quantities of a circle graph.Interpret a circle graph as parts of a whole.
Line Graphs Identify the parts of a line graph.Interpret line graphs.
Frequency and Histograms Construct stem-and-leaf plots, frequency tables, and histograms from sets of data.
Constructing Box-and-Whisker Plots Identify the median and the quartiles of a set of data.Construct a box-and-whisker plot from a set of data.
Interpreting Box-and-Whisker Plots Interpret a box-and-whisker plot.Identify the lower quartile, upper quartile, and the median from a box-and-whisker plot.
Identify the extreme values of a set of data from a box-and-whisker plot.
Scatter Plots Interpret a scatter plot.Identify a line of best fit for a scatter plot.Classify a trend/correlation on a scatter plot.
Misleading Graphs Identify how a graph is misleading.Identify the changes needed to correct a misleading graph.
Appropriate Displays Choose the correct graph to display information.Identify types of data.
Review Review how to determine the appropriate data display for a given set of data.
Review the two types of data.Review bar graphs, circle graphs, line graphs, stem-and-leaf plots, histograms, box-and-whisker plots, and scatter plots.
Review how graphs can be misleading.Review the measures of central tendency and dispersion.Review the various types of samples.
Assignment ObjectivesTree Diagrams and the Counting Principle Use the counting principle to identify probabilities.
Identify all the possible outcomes for a given situation.Use tree diagrams to identify probabilities.
Permutations Use permutations to count all possible outcomes.Use combinations to count all possible outcomes.
Mixed Review of Outcomes Identify if a problem involves combinations or permutations.Use the combination formula to determine the total possible outcomes.
Use the permutation formula to determine the total possible outcomes.
Probability and Odds Define theoretical probability, fairness, and odds.Find probability and odds for given situations.
Experimental vs Theoretical Probability Find the experimental probability of an event.Use experimental probability to make predictions about future trials.Use the theoretical probability to predict experimental probability.
Disjointed and Overlapping Events Find the probability of a disjointed event.Find the probability of an overlapping event.
Independent and Dependent Events Find the probability of dependent events.Identify if events are independent or dependent.Find the probability of independent events.
Simulate a Problem Use a simulation to determine the experimental probability of a problem.
Compare and contrast the theoretical probability with the experimental probability.
Quest: All That's Fair In... Calculate the theoretical probability of an event.Determine if a game is fair.Calculate the experimental probability of an event.Create a game that is fair.
Review Review identifying and computing probabilities of independent and dependent events.
Review determining the number of possible outcomes using tree diagrams and the fundamental counting principle.
Review identifying and evaluating permutation and combination problems.
Review finding theoretical and experimental probabilities.Review identifying and computing probabilities of overlapping and disjointed events.
Assignment ObjectivesReview I Review translating, solving, and graphing functions, equations, and
inequalities.
Review properties of the real number system.Review using proportions to solve problems.
Review II Review probability.Review ways to analyze and display information.Review using algebraic properties to solve geometry and measurement problems.
Assignment ObjectivesVariables and Expressions Identify a variable expression and its components: variable,
coefficient, constant.
Interpret an algebraic expression.Translate expressions written as English phrases into algebraic expressions.
Exponents and Order of Operations Simplify mathematical expressions containing exponents.Simplify mathematical expressions using the order of operations.
Evaluating Expressions Evaluate algebraic expressions for given values of the variables.
Classifying and Comparing Numbers Classify a real number as natural (counting), whole, integer, rational, or irrational.
Compare and order real numbers and graph them on the number line.
Name the additive inverse of a given number.
Decimal-Fraction Conversions Convert repeating decimals to fractions.Convert terminating decimals to fractions.
Fractions Identify the additive identity and multiplicative inverse of a number.Perform operations with decimal numbers.Perform operations with fractions.Round decimal numbers to a specified place value.
Adding and Subtracting Signed Numbers Add signed numbers.Subtract signed numbers.Divide signed numbers.Multiply signed numbers.
Absolute Value Evaluate expressions containing absolute value symbols.
Commutative and Associative Properties Identify the commutative and associative properties of addition and multiplication.
Use real number properties to simplify algebraic expressions.
Distributive Property Identify the distributive property.Identify the terms of an algebraic expression.Use the distributive property to simplify algebraic expressions.Identify like terms in an algebraic expression.
Simplifying Expressions Simplify algebraic expressions by removing parentheses and combining like terms.
Review Review absolute value.Review comparing and ordering real numbers.Review evaluating algebraic expressions.Review operations with real numbers.Review properties of real numbers.Review simplifying algebraic expressions.Review simplifying numerical expressions.
Assignment ObjectivesOpen Sentences Simplify algebraic expressions using properties of zero and one.
Translate sentences into algebraic equations.
Addition Property of Equality Use the addition property of equality to solve equations.Use the addition property of equality to solve word problems.
Multiplication Property of Equality Use the multiplication property of equality to solve equations.Use the multiplication property of equality to solve word problems.
Two-Step Equations Solve two-step equations by using both the addition and multiplication properties of equality.
Variables on Both Sides Solve multi-step equations that have the variable term on both sides.
Combining Like Terms Solve multi-step equations by combining like terms on one or both sides of the equation first.
The Distributive Property Solve multi-step equations.
Literal Equations Solve a literal equation for a specified variable.
Writing Equations from Word Problems Solve word problems with one unknown by writing and solving an equation.
Two Unknowns Solve a word problem by writing and solving a related equation.Write an equation to represent a word problem.
More than Two Unknowns Express one unknown in terms of another for a word problem.Solve word problems with more than two unknowns using an equation.
Using a Chart Solve word problems by writing and solving a related equation.
Percent Problems Calculate percent increase and decrease.Convert between fractions, decimals, and percents.Solve percent problems.
Mixture and Interest Problems Solve investment word problems.Solve mixture word problems.Write an equation to represent a mixture word problem.Write an equation to represent an investment word problem.
Review Review how to solve a literal equation for a specified variable.Review how to solve equations.Review how to solve percent problems.Review how to write equations to represent problems.
Assignment ObjectivesThe Coordinate Plane Identify and plot points in the coordinate plane.
Identify the axes, origin, and quadrants in the coordinate plane.Identify the quadrant in which a point lies in the coordinate plane.Write an equation to express a relationship between coordinates in the plane.
Identifying Functions Identify a function from a set of ordered pairs, a table, a mapping, or a graph.
Identify the domain and range of a relation.
Function Notation Evaluate a function for a value of the dependent variable using a function rule, graph, or table.
Find the value of the independent variable of a function given the dependent variable.
Modeling Functions Graph a function from its equation.Identify the graph of a function that models a real life relationship.
Writing a Function Rule Write a function rule from a given set of ordered pairs or graph.Write a function rule to represent a real-world problem.
Arithmetic Sequences Extend an arithmetic sequence.Find the common difference of an arithmetic sequence.Find the nth term of an arithmetic sequence.Identify an arithmetic sequence.
Direct Variation Determine the constant of variation of a direct variation.Identify a function as being a direct variation.Solve a word problem involving a direct variation.Write the equation of a direct variation.
Slope Given two points on a line, calculate the slope using the slope formula.
Use the graph of a line to determine if the slope is positive, negative, zero, or undefined (no slope).
Use the graph of a line to determine the slope.
Linear Equations Determine if an equation is linear.Find the x- and y-intercepts of a line.Graph a linear equation by finding solutions of the equation.Write a linear equation from a word sentence.Write a linear equation in general form.
Assignment ObjectivesSlope-Intercept Form Graph a line using the slope and y-intercept.
Identify the slope and y-intercept of a line from the given equation.
Write a linear equation in slope-intercept form.
Absolute Value Functions Describe how the graph of |x| is translated in the coordinate plane based on the equation.
Identify the graph of an absolute value function in the form y = |x| + c.
Identify the graph of an absolute value function in the form y = |x + c| .
Writing Linear Equations (1) Write the equation of a line given the graph.Write the equation of a line given the slope and y-intercept.Write the equation of a line given the y-intercept and another point on the line.
Writing Linear Equations (2) Write the equation of a line given the slope and a point on the line that is not the y-intercept.
Write the equation of a line given two points on the line where neither is the y-intercept.
Writing Linear Equations (3) Find the slope of a line parallel to a given line.Find the slope of a line perpendicular to a given line.Write the equation of a line parallel to a given line.Write the equation of a line perpendicular to a given line.
Review Review arithmetic sequences and how to find the nth term.Review graphing and writing linear equations.Review how to use translations to graph absolute value equations of the form y = |x| + c and y = |x + c|.
Review the coordinate plane and how functions are modeled in the plane.
Review what a function is, as well as how to read, write, and evaluate function notation.
Assignment ObjectivesGraphing Graph a set of numbers on the number line.
Identify and determine the number of subsets of a set.Use set builder notation to express a set.Write a set using the listing or rule method.Write the set that is represented by a graph.
Addition Property of Inequality Determine if a value is a solution of an inequality.Graph the solution set of an inequality.Solve an inequality using the addition property of inequality.
Multiplication Property of Inequality Solve an inequality using the multiplication property of inequality.
Problem Solving Solve word problems using an inequality.Translate phrases into inequality statements.
Compound Inequality Graphs Graph a compound inequality.State the intersection of two sets.State the union of two sets.Write a compound inequality as a union or intersection.
Solving Compound Inequalities Graph the solution set of a compound inequality.Solve a compound inequality.
Inequalities with Two Variables Graph a linear inequality in the coordinate plane.
Absolute Value Solution Sets State and graph the solution set of absolute value equations of the form |x + a| = c, where a and c are constants.
State and graph the solution sets of absolute value equations of the form |x| < c, |x| > c, |x| ≤ c, and |x| ≥ c, where c is a constant.
Absolute Value Inequalities with One Variable Solve and graph the solution sets of absolute value equations.Solve and graph the solution sets of absolute value inequalities.
Absolute Value Inequalities with Two Variables Graph the solution sets of absolute value inequalities in the coordinate plane.
Review Review how to graph two-variable inequalities in the coordinate plane.
Review how to solve and graph compound inequalities.Review how to solve and graph one- and two-variable absolute value inequalities.
Review how to solve inequalities using properties of inequality.Review how to state solution sets using set notation.
Assignment ObjectivesSolution of a System Determine the number of solutions of a linear system.
Identify a solution of a linear system graphically.Identify if a linear system is consistent, inconsistent, or equivalent.
Graphing Systems of Equations Determine if a point is a solution of a system of linear equations.Determine the solution set of a linear system graphically.
Systems of Inequalities Determine if a point lies in the solution set of a system of linear inequalities.
Graph the solution set for a system of linear inequalities.
Substitution Method Determine if an ordered pair is a solution of a system of two linear equations.
Solve a system of two linear equations by the substitution method.
Addition Method Determine if an ordered pair is a solution of a system of two linear equations.
Solve a system of two linear equations using the addition method.
Matrices Find the determinant of a 2 x 2 matrix.Find the system determinant, x determinant, and y determinant for a system of two linear equations.
Solve a system of two linear equations algebraically using determinants.
Write a system matrix for a linear system with two equations.
Fractional Coefficients Identify a solution to a system of equations.Solve systems of equations containing fractional coefficients.
Using Two Variables Use a system of linear equations to solve a word problem.Write a system of linear equations to represent a word problem.
Money and Unit Pricing Solve a system of equations to represent coin and pricing problems.Write a system of equations to represent coin and pricing problems.
Using Formulas Represent word problems involving formulas using a system of equations.
Solve word problems involving formulas using a system of equations.
Review Review how to apply systems of equations to solve word problems.
Review solving linear systems algebraically by substitution, elimination, or determinants.
Review solving linear systems graphically.Review what a solution to a system is and when a system has no, one, or infinite solutions.
Assignment ObjectivesReview Review and reinforce algebraic concepts from Units 1-5 in
Assignment ObjectivesAdding and Subtracting Polynomials Add polynomials using a vertical format.
Recognize a polynomial and the number of terms it has.Subtract polynomials using a vertical format.Write a polynomial in descending order.
Grouping Symbols Add polynomials using a horizontal format.Subtract polynomials using a horizontal format.
Multiplying by a Monomial Multiply any polynomial by a monomial.Multiply monomials.
Multiplying Polynomials Multiply polynomials with more than one term.
F.O.I.L. and Special Cases Find products of binomials using the FOIL method.Use shortcuts for squaring a binomial and finding the difference of two squares.
Dividing by a Monomial Divide monomials by monomials.Divide polynomials with more than one term by a monomial.
Long Division Check the answer to a division problem with polynomials.Divide polynomials using long division.
Greatest Common Factor Find the greatest common factor of a polynomial.Find the greatest common factor of two or more monomials.Use prime factorization to find the greatest common factor of two or more whole numbers.
Factoring Out the GCF Check the factorization of a polynomial.Factor out the GCF of a polynomial.
Factoring by Grouping Check the factorization of a polynomial.Factor four-term polynomials by grouping.
Factoring Trinomials (1) Check the factorization of a polynomial.Factor trinomials with leading coefficients of one into a product of binomials.
Factoring Trinomials (2) Check the factorization of a polynomial.Factor trinomials with leading coefficients other than one into a product of binomials.
Special Cases Check the factorization of a polynomial.Factor perfect square trinomials.Factor the difference of two perfect squares.
Complete Factorization Check the factorization of a polynomial.Factor a polynomial into prime factors.
Review Review factoring.Review operations on polynomials.Review simplifying polynomial expressions.
Scientific Notation Convert between numbers in standard form and scientific notation.
Multiplication Use the multiplication property of exponents to simplify products.
Raising to a Power Simplify a power raised to a power using the rule of exponents.Simplify powers of products using the rule of exponents.
Division Simplify quotients of powers using the rule of exponents.
Geometric Sequences Extend a geometric sequence.Find the common ratio of a geometric sequence.Find the nth term of a geometric sequence.Identify a geometric sequence.
Simplifying Radicals Simplify radicals having perfect nth root radicands.Multiply radicals with the same index.Simplify square roots that have a perfect square factor.
Dividing Radicals Divide like radicals.Rationalize a fraction.Simplify radicals with fractional radicands.
Adding and Subtracting Radicals Add and subtract radical expressions.
Radical Equations Determine if a value is a solution of a radical equation.Solve equations with irrational solutions.Solve radical equations.
Review Review operations with radical expressions.Review simplifying algebraic expressions that involve exponents. Review simplifying radicals.Review solving equations with irrational roots and radical equations.Review solving radical equations.Review the rules for exponents.
Assignment ObjectivesPythagorean Theorem Apply the Pythagorean theorem to real life problems.
Determine if the given sides form a right triangle.Use the Pythagorean theorem to find the missing length of a side of a right triangle.
Distance Determine if a point lies on a circle with center at the origin.Find the distance between two points.Write the equation of a circle whose center is at the origin.
Midpoint Find the center of a circle given the endpoints of a diameter.Find the coordinates of the midpoint of a line segment given the endpoints.
Quadratic Functions Find ordered pairs on the graph of a quadratic function.Identify a quadratic equation.Identify the solutions of a quadratic equation from the related parabola.
Write a quadratic equation in general form.
Transformations Identify the vertex of a parabola from a given equation in standard form.
Use translations and reflections of the graph of y = x² to graph parabolas whose equations are in standard form.
Write the standard form of a quadratic equation from the given graph.
Line of Symmetry Determine the line of symmetry and vertex of a parabola whose equation is in general form, y = ax² + bx + c.
Graph a parabola whose equation is in general form, y = ax² + bx + c.
Quadratic Inequalities Determine if a point is a solution of a quadratic inequality.Graph the solution set of a quadratic inequality.Identify the solution set of a quadratic inequality.
Solving by Factoring Solve quadratic equations by factoring.
Square Root Method Solve quadratic equations using the square root method.
Applications of Quadratics Solve word problems by writing quadratic equations.
Completing the Square Solve quadratic equations by completing the square.Solve quadratic equations by completing the square.
Quadratic Formula (1) Use the quadratic formula to solve quadratic equations having rational roots.
Quadratic Formula (2) Use the quadratic formula to solve quadratic equations having irrational roots.
Assignment ObjectivesSimplifying Rational Expressions Determine the excluded values of a rational expression.
Reduce rational expressions.
Multiplying and Dividing Rational Expressions Divide rational expressions.Multiply rational expressions.
Adding and Subtracting with Like Denominators Add fractions that have a common denominator.Subtract fractions that have a common denominator.
Adding and Subtracting with Unlike Add rational expressions with unlike denominators.Denominators Determine the lowest common denominator of rational expressions.
Proportions Solve proportions.
Using the LCD Solve equations containing rational expressions by clearing fractions.
Complex Fractions Simplify complex fractions.
Inequalities Solve inequalities containing rational expressions with variables in the numerators.
Applications of Rational Equations Solve mixture problems using rational equations.Solve time, distance, and rate problems using rational equations.Solve work and pipe flow problems.
More Problems Solve word problems by writing and solving rational equations.
Review Review finding excluded values of rational expressions.Review how to perform operations with rational expressions.Review how to solve equations and inequalities containing rational expressions.
Review how to solve word problems using an equation.Review how to write a rational expression in simplest form, including complex fractions. (Reduce.)
Assignment ObjectivesMeasures of Central Tendency Determine if a sample is good.
Find the mean, median, and mode of a given set of data.Interpret a frequency table.Interpret a stem-and-leaf plot.
Dispersion Calculate quartiles of a data set.Find the range and inter-quartile range of a given data set.Identify outliers of a data set and determine how they affect a measure of central tendency.
Interpret data presented in a histogram or box-and-whisker plot.
Interpreting Data Interpret data displayed in a graph.Make predictions from a graph.
Project: Data Analysis Collect, organize, and analyze data.Make predictions based on data.
Sampling and Outcomes Determine the number of outcomes, or sample space, of an event using the multiplication principle.
Determine the outcomes, or sample space, of an event using a table or a tree diagram.
Permutations Determine the number of arrangements in an event.Evaluate and apply the permutation formula.Evaluate numeric expressions containing factorial notation.
Combinations Evaluate and apply the combination formula.
Probability Determine the theoretical probability of a single event.
Compound Events Determine the theoretical probability of compound events.
Project: Probability Calculate probabilities based on data.Collect and organize data.Use measures of central tendency to persuade.
Review Review how statistics can be misleading.Review statistical measurements for central tendency and dispersion.
Review the interpretation of graphs such as box-and-whisker plots and scatter plots.
Review ways of determining outcomes of an event.
Assignment ObjectivesReview Review and reinforce algebraic concepts from Units 7–11 in
Assignment ObjectivesMathematic System: Set Theory Review Identify finite and infinite sets
Identify subsets of a given set Review and practice the rules of set theory
Mathematic System: Operations with Sets Solve word problems using set theory and set operations Find the intersections and unions of sets (set operations)
Geometry Undefined Terms: Point List properties and characteristics of the undefined term 'point'
Geometry Undefined Terms: Line List properties and characteristics of the undefined term 'line'
Geometry Undefined Terms: Plane List properties and characteristics of the undefined term 'plane'
Defined Terms: Definitions Define segment, ray, and collinear Identify and name examples of segments, rays when prompted Indicate whether two lines are collinear or not
Geometric Postulates Identify characteristics of postulates
Review of Algebraic Postulates Apply postulates to solve word problems
Geometric Theorems Recall and relate geometric theorems on points, lines, and planes
Review of Properties of Algebra Review properties of algebra
Assignment ObjectivesLogic Define and identify types of logical statements
Recognize and use strategies of logic
Conjunctions Use a truth table to analyze conjunctions Classify a conjunction as true or false
Disjunctions Classify a conjunction as true or false Use a truth table to analyze disjunctions
Negation Classify a negation as true or false
Conditional or Implication Statements Solve problems using conditional statements Use truth tables to judge conditional statements
Converse, Inverse, Contrapositive Determine if a statement is true or falseIdentify the converse, inverse, and contrapositive of conditional statements
Inductive Reasoning Identify statements as inductive or not inductive Use inductive reasoning to draw reasonable conclusions
Deductive Reasoning Identify the major and minor premises of a syllogism Draw conclusions from premises
Using Deductive Reasoning Use deductive reasoning to prove basic theorems
Proof Formats: Statement of the Theorem Rewrite statements in 'if-then' form Identify the essential parts of a two-column proof
Proof Formats: The Figure Identify the appropriate figure for a proof
Proof Formats: The Given Statement Identify the 'given' information in a two-column proof
Proof Formats: To Prove Statement Identify the statement to prove in a two-column proof
Proof Formats: The Plan of the Proof Match statements with reasons Describe several strategies for planning a proof
Indirect Proof Format: The Paragraph Proof Prove some simple statements using the indirect method, or contradiction
Assignment ObjectivesAngle Definitions Name an angle and its parts
Identify and describe perpendicular anglesIdentify and describe acute, right, and obtuse angles Identify and describe betweeness of angles
Angle Measurement Find the sum of angle measures Use a protractor to measure angles
Angle Relationship Definitions Define and identify adjacent anglesDefine and identify supplementary angles Define and identify complementary angles Define and identify vertical angles
Angle Relationship Theorems (1) Use theorems about adjacent, complementary, supplementary and vertical angles to answer questions and complete proofs
Angle Relationship Theorems (2) Use theorems about adjacent, complementary, supplementary and vertical angles to answer questions and complete proofs
Construction: Copying Figures Copy a figure by using mathematical construction techniques
Construction: Bisecting Figures Bisect figures by using mathematical construction techniques
Basic Properties of Parallels Define and describe properties of parallelism of lines and planes
Transversals and Special Angles Calculate angle measures using transversals Name the angles formed by a transversalComplete proofs by applying properties and theorems of tranversals
More Proofs: Transversals and Special Angles Define and identify exterior and interior angles Complete proofs using your knowledge of transversals
Continued Proofs: Transversals and Special Angles Practice proofs and questions that relate to parallels and transversals
More Proofs for Postulates 9 and 10 Practice proofs and questions that relate to parallels and transversals
Construction: Perpendiculars Construct a line that is perpendicular to another line at a given point
Construction: Tangents to Circles Construct a line that is tangent to a circle at a given point
Construction: Parallels Construct a line that is tangent to a circle at a given point
Classifying Triangles by Sides and Angles Identify triangles as scalene, isosceles, or equilateral Identify triangles as acute, obtuse, or equiangular
Assignment ObjectivesExterior and Remote Interior Angles of a Triangle Find the measures of exterior and remote interior angles
Define exterior and remote interior angles of a triangle
Proofs Involving Triangles Review exterior and interior angles of trianglesProve theorems and corollaries using auxiliary linesDefine corollaryDefine auxiliary line
Other Polygons Find the angle measures of polygons Apply properties of polygons to solve problems Categorize a shape as a polygon or non-polygon Identify different kinds of polygons
Assignment ObjectivesDefining Congruent Triangles Identify corresponding parts of congruent triangles
Define congruent triangles Judge whether two triangles are congruent or not
Proving Triangles Congruent (1) Prove that triangles are congruent using the ASA TheoremProve that triangles are congruent using side and angle postulates
Proving Triangles Congruent (2) Prove that triangles are congruent using the ASA TheoremProve that triangles are congruent using side and angle postulates
Proving Right Triangles Congruent Prove that right triangles are congruent using the Hypotenuse-Leg Theorem
Independent Triangles (1) Prove that angles are congruent using triangle congruence theorems on non-overlapping triangles
Prove that line segments are congruent using triangle congruence theorems on non-overlapping triangles
Independent Triangles (2) Prove that line segments are congruent using triangle congruence theorems on non-overlapping triangles
Prove that angles are congruent using triangle congruence theorems on non-overlapping triangles
Overlapping Triangles (1) Prove that angles are congruent using triangle congruence theorems on non-overlapping triangles
Prove that line segments are congruent using triangle congruence theorems on non-overlapping triangles
Overlapping Triangles (2) Prove that angles are congruent using triangle congruence theorems and properties of isosceles triangles
Isosceles Triangles (1) Prove that angles are congruent using triangle congruence theorems Prove that angles are congruent using properties of isosceles triangles Prove that line segments are congruent using properties of isosceles triangles
Know properties of triangles Prove that line segments are congruent using triangle congruence theorems
Assignment ObjectivesIsosceles Triangles (2) Prove that line segments are congruent using triangle congruence
theorems
Prove that angles are congruent using properties of isosceles triangles Prove that line segments are congruent using properties of isosceles triangles
Prove that angles are congruent using triangle congruence theorems Know properties of triangles
Construction of Triangles 30-60-90 Construct 30-60-90 right triangles Construct triangles given two sides and the included angleConstruct triangles given three sides
Construction of Triangles 45-45-90 Construct 45-45-90 right triangles Construct a median and an altitude of a triangle
Inequality Theorem in One Triangle Part 1 Use angle measures to prove when one side of a triangle is longer than another side
Use side lengths to prove when one angle of a triangle is larger than another angle
Inequality Theorem in One Triangle Part 2 Use side lengths to prove when one angle of a triangle is larger than another angle
Use angle measures to prove when one side of a triangle is longer than another side
Inequality Theorem in Two Triangles Determine when sides of two different triangles are equal Determine when one side of a triangle is greater than or less than another side
Quadrilateral Parallelograms Theorems Part 1 Use properties of parallelograms to prove statements
Quadrilateral Parallelograms Theorems Part 2 Use properties of parallelograms to prove statements
Triangles that Use Parallelograms in Proofs Use parallelograms to prove statements about triangles
Parallelograms: Rectangles Prove statements involving the rectangle Prove statements involving the rhombus
Parallelograms: Rhombus Prove statements involving the rectangleProve statements involving the rhombus Understand how special parallelograms are related
Trapezoids-Definitions and Proofs Prove statements involving trapezoids
Unit 4: CONGRUENT TRIANGLES AND QUADRILATERALS (CONT.)
Assignment ObjectivesAlgebra and Ratios Express ratios in their simplest forms
Use geometric figures to find a ratio
Algebra Properties and Proportions Solve proportions in one variable, including in the context of word problems
Know the definition of a proportion Identify the means and extremes of a proportion
Properties of Proportions Solve proportions in two variables Relate proportions to geometric figures
Meaning of Similarity Identify similar triangles Prove when triangles are similar Define similarity State key properties of similarity
Meaning of Similarity-Theorems Know important facts about similar triangles Prove when triangles are similar
Meaning of Similarity-Proofs Prove when triangles are similar Know important facts about similar triangles
Theorems-Similar Polygons Use facts about similarity to calculate side measures of similar polygons
Know facts about similar polygons
Theorems-Special Segments in Triangles Find segment measure in triangles using special relationships and proportions
Similar Right Triangles Use the altitude of a right triangle to create proportions Find the geometric mean of two numbers Solve for unknown segment measures
The Pythagorean Theorem Solve for missing sides of a right triangle Determine whether three segments form a right triangle or not
Theorem about 30-60-90 Right Triangles Find the side measures of right triangles by applying special properties of 30-60-90 right triangles
Theorem about 45-45-90 Right Triangles Find the side measures of right triangles by applying special properties of 45-45-90 right triangles
Using Triangles: Rectangular Solids Apply the Pythagorean theorem when solving for parts of rectangular solids
Assignment ObjectivesArea Concepts of Polygons Recognize that polygons can be broken into non-overlapping
triangles
Find the area of a polygon by breaking it into triangles
Area of Rectangles Find the area of a rectangle Solve problems involving areas of rectangles
Area of Parallelograms Find the area of a parallelogram Solve problems involving areas of parallelograms
Area of Triangles and Rhombuses Find the area of a rhombus Find the area of a triangle
Area of Trapezoids Find the area of a trapezoid
Area of Regular Polygons Find the area of a regular polygon, including equilateral trianglesA square is a regular polygon An equilateral triangle is a regular polygon
Area Comparisons of Polygons Find area and linear measures such as side length of regular polygons that are similar
Construction: Polygons Construct a rectangle, parallelogram, hexagon, and octagon
Circles: Circumference and PI Find the circumference of a circle when given the radius Understand the derivation of the circumference formula Find the radius of a circle when given the circumference
Circles: Area of Circles Find the area of a circle Find the area of a circle that is similar to another circle
Circles: Area of Sectors Find the arc length of a sector Find the area of a sector, or 'slice' of a circle
Circles: Area of Segments Find the area of a segment of a circle Find the area of unusual shapes using the areas of sectors and segments
Solids: Prisms Find the surface area and volume of a prism
Solids: Pyramids Find the surface area and volume of a pyramid
Solids: Cylinders Find the surface area and volume of a cylinder
Solids: Cones Find the surface area and volume of a cone
Solids: Spheres Find the surface area and volume of a sphere
Assignment ObjectivesSymmetry Find planes of symmetry
Find points of symmetry Find lines of symmetry
Ordered Pairs: Points in a Plane Plot points on a coordinate plane Find the coordinates for a point shown on the coordinate plane
Graphs of Algebraic Sentences Review and practice graphing linear equations Graph combinations of linear equations and inequalities Review and practice graphing linear inequalities
Distance Formula Find the lengths and perimeters of geometric shapes by using the distance formula
Review and practice using the distance formula to find the distance between two points
Equation of a Circle Find equation for a circle in the coordinate plane
Midpoint Formula Find the midpoint of line segments Solve problems by using the midpoint formula
Slope Test points to determine whether they are collinear (on the same line)
Calculate slope of a line
Parallel and Perpendicular Lines Use properties of lines to prove theorems Determine if lines are parallel, perpendicular, or neither (skew)
Equations of Lines Find properties and measures of shapes using the coordinate plane Find the equation of a line given two points Find the equation of a line given a point on the line and the slope Find the equation of a line in standard form
Figures in the Coordinate Plane Find properties and measures of shapes using the coordinate plane Use coordinate techniques to prove geometric statements
Proofs with Coordinate Geometry (1) Prove theorems about plane figures using coordinate geometry
Proofs with Coordinate Geometry (2) Prove theorems about plane figures using coordinate geometry
Assignment ObjectivesNumber Order and Absolute Value Solve absolute value equations.
Use equal, greater than, and less than signs to order numbers.
Sums and Products Review addition and multiplication of signed numbers.
Solving Equations Review and practice solving linear equations with the addition property.
Multiplication Property Review and practice solving linear equations with the multiplication property.
Multi-step Equations Solve linear equations using both multiplication and addition properties.
Equations with Parentheses Solve equations with parentheses by using the distributive property.
Literal Expressions Solve literal equations.Substitute values to evaluate literal expressions.
Solving Inequalities Differentiate between the multiplication property of inequality and the multiplication property of equality.
Solve linear equalities.
Graphing Solution Sets for Inequalities Express the solutions of single variable inequalities using a line graph.Review solving single variable inequalities using the Addition and Multiplication Properties.
Write the solution set that is represented by a line graph.
Compound Sentences Graph compound inequalities.Solve absolute value inequalities.
Number Problems Solve word problems with whole numbers.
Motion Problems Solve problems involving rate, distance, and time.
Assignment ObjectivesLine Graphs Evaluate two-variable equations and find ordered pairs.
Identify linear and nonlinear equations.
Line Graphs by Two Points Determine if two lines are parallel or perpendicular.Graph linear equations.
Slope of Lines Part 1 Compute the slope of a line.
Slope of Lines Part 2 Find collinear points.Use the slope of a line to calculate missing coordinates.Using given coordinates, determine if a line is horizontal or vertical.
Equations: Point Slope Part 1 Use the point-slope technique to find the equation of a line from its graph.
Equations: Point Slope Part 2 Use the point-slope technique to find the equation of a line from its graph.
Equations: Point Slope Part 3 Find the equation of a line when given two points on the line.
Equations: Slope-Intercept Find the x-intercept of a linear equation.Write equations of a line in slope-intercept form.
General Equation of a Line Find the x and y intercepts by inspecting the general form of a line.Write linear equations in general form.
Solutions for Systems of Equations Solve a system of two equations using graphical methods
Solutions by Addition Solve a system of two equations by using the addition property of equality.
Solutions by Substitution Solve a system of two equations by using the substitution property of equality.
Application of Systems of Equations Apply your knowledge of systems of equations to solving word problems.
Solving Inequalities Graph the solution sets for linear inequalities.
Solving Two-order Inequalities Graph the solution sets for linear inequalities.
Assignment ObjectivesDistance Formula Use the distance formula to find the distance between two points.
Circle Find the center of a circle from its equation.Find the radius of a circle from its equation.Write the equation of a circle, given its center and radius.
Ellipse Find the length of the major axis of an ellipse.Find the length of the minor axis of an ellipse.
Ellipse Continued Find the equation of an ellipse.Find the foci of an ellipse.Graph an ellipse given an equation.
Conic Sections: Parabola Find the directrix of a given.Find the focus of a given parabola.Graph a parabola.
Conic Sections: Parabola Continued Determine the direction in which a parabola opens.Find the quadrant(s) in which a parabola resides.
Conic Sections: Hyperbola Graph a hyperbola.Write the equation of a hyperbola.
Conic Sections: Hyperbola Continued Find the equation of a hyperbola.Graph a hyperbola.
Identifying Conic Sections Identify a quadratic equation as a circle, parabola, hyperbola, or ellipse.
Systems of Equations Solve a system of equations
Solutions of Inequalities Graph the solution to a system of inequalities.
Applications of Conic Sections–Part 1 Find the equation of a hyperbola that represents a physical situation.
Applications of Conic Sections–Part 2 Find the equation of a conic section that represents a physical situation.
Applications of Conic Sections–Part 3 Find the equation of a hyperbola that represents a physical situation.
Constant of Proportionality Find the conic section that represents a given physical situation.
Graphing Exponential Functions Complete ordered pairs for an exponential function.
Exponential Applications Solve application word problems with exponential equations.
Logarithmic Functions Express a logarithmic function in exponential form.Express an exponential equation in logarithmic form.
Evaluation of Logarithms Evaluate logarithmic functions.
Evaluating Exponential Functions, Common Evaluate logarithm expressionsLogarithms, and Natural Logarithms Find common logarithms and natural logarithms
General Properties of Logarithms Use the properties of logarithms to rewrite a logarithmic expression in a different form.
Scientific Notation Express decimal numbers in scientific notation.
Calculation of Common Logarithms Use change of base formula to evaluate common logarithms.Use the change of base formula to solve an exponential equation.
Graphs of Logarithmic Functions Complete ordered pairs for a logarithmic function.Graph a logarithmic function.
Solving Logarithmic Equations Solve equations using properties of logarithms.
Logarithmic Applications Solve word problems using logarthmic functions.
Matrices Identify entries in a matrix by row and column.
System Solutions with Matrices Use the matrix method to solve a system of equations.
Addition and Multiplication of Matrices Perform addition of matrices.Perform subtraction of matrices.
Assignment ObjectivesProgressions: Sequences Find the nth term in a sequence.
Indicate the general term of a sequence.
Progressions: Series Differentiate between a finite and an infinite series.Differentiate between an arithmetic and a geometric series.Use summation notation.
Permutation Formula Calculate the number of permutations of r elements from a set of n elements.
Define permutation.
Permutations: Applications Use permutations to solve application problems.
Combination Formula Calculate the number of combinations of r elements from a set of n elements.
Combinations: Applications Use combinations to solve application problems.
Combinations: Binomial Coefficients Demonstrate knowledge of the pattern of Pascal's triangle.Find powers of binomials with Pascal's triangle.
Probability: Concepts Calculate probabilities in single-step experiments.Explore the uses and limitations of probability theory.
Probability: Equally Likely Outcomes Define the counting principle.Use the counting principle to calculate the probability of complex events.
Probability: Multiplication Principle Define independent and dependent events.Use the multiplication principle to calculate the probability of complex events.
Conditional Probability Use conditional probability to calculate the probability of events.
Assignment ObjectivesIntegers Identify terms about graphing functions.
Restate the axioms of algebra.
Integers Continued Evaluate functions.Find the intersection and union of sets.Simplify exponential expressions, including exponential.
Open Sentences Restate axioms and terms of algebra.Simplify numerical expressions, including absolute value.
Open Sentences Continued Solve absolute value equations and inequalities.Solve linear equations and inequalities.
Graphs Find the equation of a line.Graph linear inequalities.Restate definitions of graphing.Solve a system of equations.Write the equation of a line in standard form.
Graphs Continued Graph linear equations.Graph linear inequalities.Solve a system of linear equations.Solve word problems with systems of equations.
Polynomials Find the product of polynomial expressions.Solve variation problems.
Polynomials Continued Divide polynomials by long division.Divide polynomials with synthetic division.Factor polynomials.Solve direct and joint variation problems.
Algebraic Fractions Part 1 Find the exclusions for a rational expression.Simplify algebraic expressions.
Algebraic Fractions Part 2 Add and subtract rational expressions.Multiply and divide rational expressions.
Algebraic Fractions Part 3 Simplify complex expressions.Simplify mixed expressions.Solve equations with mixed and complex expressions.
Real Numbers Simplify radical expressions.Solve radical equations.
Real Numbers Continued Simplify complex and imaginary expressions.Simplify radical expressions.Solve quadratic equations by completing the square.Solve quadratic equations by the quadratic formula.
Assignment ObjectivesQuadratic Relations and Systems Identify the type of conic section from its equation.
Quadratics Continued Identify the coordinates of characteristics of conic sections.Identify the equation of a conic section.Solve systems of quadratic and linear equations.
Exponential Functions Add and subtract matrices.Graph exponential equations.Simplify expressions with zero and negative exponents.
Exponential Functions Continued Multiply matrices.Solve a system of linear equations.Write exponential equations in logarithmic form.Evaluate logarithms.
Counting Principles Find the nth term of a sequence.Identify a sequence as arithmetic or geometric.Identify a series as finite or infinite.
Counting Principles Continued alculate permutations and combinations.Find conditional probabilities.Find probabilities.Represent a series as a summation.
Assignment ObjectivesReview Review and reinforce algebraic concepts from Units 7–11 in
Assignment ObjectivesOrdered-Pair Numbers: Relations Identify relations between ordered pairs.
Solve for the domain and range of ordered pairs.Identify elements of sets.Locate ordered pairs in the Cartesian Plane.Understand how to make an ordered pair from a set.
Ordered-Pair Numbers: Functions Determine if a relation is a function
Ordered-Pair Numbers: Rules of Correspondence Distinguish between linear and quadratic functions.
Write equations for linear and quadratic functions.
Algebra of Functions: Notation Recognize function notation.Utilize function notation to solve for dependent variable values.
Algebra of Functions: Arithmetic Apply arithmetic operations to equal functions.Identify equal functions.
Algebra of Functions: Composition Combine functions via composition.Distinguish between zero, constant and identity functions.Define function composition.
Algebra of Functions: Inverse Find the inverse of a function.Determine whether or not the inverse of a function is a function.
Assignment ObjectivesDefinition of the Trigonometric Functions Determine which quadrant trigonometric functions are located
within.
Identify the trigonometric functions.Solve for components of trigonometric functions.
Evaluation of Functions Identify the quadrant in which theta is located.
Angle Location Identify positive and negative angles in standard position .Determine the quadrant for standard position angles.
Reduction Formulas Reduce angles using reductions formulas.Identify acute, right and obtuse angles.
Quadrantal Angles Determine the values of trigonometric functions at reduced angles.Determine the values of trigonometric functions at quadrantal angles.
Special Angles Understand where the values for trigonometric functions originate.Calculate the values of trigonometric functions at special angles.
Radian Measure Understand how radians relate to degrees.Convert between radians and degrees.
Assignment ObjectivesCircular Functions Identify unit circles.
Understand how the unit circle can be used to solve for components of trigonometric functions.
Describe movement around the unit circle.
Circular Functions of Special Angles Use reduction formulas for radian angles.Evaluate combine trigonometric functions.Convert between degrees and radians.
Graphs of Sin and Cos Identify graphs of sine and cosine functions.
Other Graphs Identify graphs of the tangent, cotangent, secant and cosecant functions.
Applications Identify positive and negative angles in standard position .Determine the quadrant for standard position angles.
Amplitude of Circular Functions Describe amplitude.Calculate amplitude for graphed trigonometric functions.
Period of Circular Functions Determine the period of trigonometric functions.
Phase Shift of Circular Functions Calculate phase shift for graphed trigonometric functions.Define phase shift.
Assignment ObjectivesThe Inverse Sine Function Define the inverse of a function
Solve for arcsin Explain how arcsin functions and square root functions are related
The Inverse Cosine Function Solve for unknowns using the arccos function Understand when the arccos function is a function
The Inverse Tangent Function Solve for unknowns using the inverse of tangent functions Recognize when the inverse of tangent is a functionSimplify trigonometric expressions
Other Inverse Functions Solve inverse trigonometric functions Recognize the equations and valid ranges for inverse trigonometric functions
Graphs of Inverse Functions Recognize the graphs and valid domains and ranges for inverse trigonometric functions
Evaluate trigonometric equations
Graphing Polar Coordinates Locate ordered pairs in polar coordinates
Converting Coordinates Understand the relationship between Cartesian and polar coordinates
Convert between Cartesian coordinates and polar coordinates
Converting Cartesian Equations to Polar Equations Convert equations from Cartesian to polar coordinates
Converting Polar Equations to Cartesian Equations Convert equations from polar coordinates to Cartesian coordinates
Graphing Polar Equations Graph equations on the polar graph
Project: De Moivre's Theorem Apply DeMoiver's Theorem to write polar coordinates in the complex plane
Identify DeMoiver's Theorem
Unit 8: INVERSE TRIGONOMETRIC FUNCTIONS AND POLAR COORDINATES
Assignment ObjectivesDefinitions, Sample Spaces, and Probability Identify probability, sample space and equally likely events
Calculate the sample space of an event Calculate the probability of an event
Addition of Probabilities Apply probability addition to real situations Understand how Wenn diagrams relate to probability Combine probabilities by addition
Multiplication of Probabilities Combine probabilities by multiplication Distinguish between mutually exclusive, independent and dependent events
Definitions Combine probabilities including multiple conditions Distinguish between combination and permutation
Permutation of N Things: Different Calculate permutations involving distinct (n) different things
Permutation of N Things: Not All Different Calculate permutations in which some of the items are the same things
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